Well-Posed Nonlinear Problems A Study of Mathematical Models of Contact /
This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. Thi...
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| Autor principal: | |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2023.
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| Edició: | 1st ed. 2023. |
| Col·lecció: | Advances in Mechanics and Mathematics,
50 |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-41416-9 |
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Taula de continguts:
- Part I An Abstract Well-posedness Concept
- Nonlinear Problems and Their Solvability
- Tykhonov Triples and Associate Well-posedness Concept
- Part II Relevant Examples of Well-posed Problems
- Fixed Point Problems
- Variational Inequalities
- Variational-hemivariational Inequalities
- Inclusions and Sweeping Processes
- Optimal Control and Optimization
- Part III Well-posed Contact Problems
- Preliminaries of Contact Mechanics
- Well-posed Static Contact Problems. Well-posed Quasistatic Contact Problems.